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Simplifying -5(3t + -3) + 9t = 6t + -4 Reorder the terms: -5(-3 + 3t) + 9t = 6t + -4 (-3 * -5 + 3t * -5) + 9t = 6t + -4 (15 + -15t) + 9t = 6t + -4 Combine like terms: -15t + 9t = -6t 15 + -6t = 6t + -4 Reorder the terms: 15 + -6t = -4 + 6t Solving 15 + -6t = -4 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 15 + -6t + -6t = -4 + 6t + -6t Combine like terms: -6t + -6t = -12t 15 + -12t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 15 + -12t = -4 + 0 15 + -12t = -4 Add '-15' to each side of the equation. 15 + -15 + -12t = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -12t = -4 + -15 -12t = -4 + -15 Combine like terms: -4 + -15 = -19 -12t = -19 Divide each side by '-12'. t = 1.583333333 Simplifying t = 1.583333333
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